Faith-based groups that have become the face of community support for Mayor Rahm Emanuel's controversial plans to lengthen the school day and close failing schools also receive millions of dollars in grants from his administration. City Hall has long enjoyed the support of church leaders who receive grants to run after-school programs and other social services, but that relationship is coming under new scrutiny in response to complaints that some groups paid people to testify in support of Emanuel reforms at recent public hearings.